Theory and Modern Applications
From: Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
Method | ||||
---|---|---|---|---|
x | EFDA | IFDA | FMoL | DM method |
h = π/200, τ = 0.016 | ||||
0.3142 | 0.40643185 | 0.40591753 | 0.40722026 | 0.40523810 |
0.6283 | 0.75093552 | 0.75000260 | 0.75219110 | 0.74870365 |
0.9425 | 1.01391315 | 1.01236366 | 1.01519975 | 1.01087353 |
1.2566 | 1.17543235 | 1.17356309 | 1.17739215 | 1.17196504 |
1.5708 | 1.22928866 | 1.22798315 | 1.23181079 | 1.22597857 |
1.8850 | 1.17482175 | 1.17399495 | 1.17730057 | 1.17196504 |
2.1991 | 1.01388718 | 1.01274958 | 1.01539033 | 1.01087353 |
2.5133 | 0.75121711 | 0.75012166 | 0.75238197 | 0.74870365 |
2.8274 | 0.40650703 | 0.40608269 | 0.40746642 | 0.40523810 |
h = π/400, τ = 0.008 | ||||
0.3142 | 0.40798803 | 0.40800055 | 0.40803064 | 0.40790925 |
0.6283 | 0.75305289 | 0.75306981 | 0.75312693 | 0.75290589 |
0.9425 | 1.01613053 | 1.01613171 | 1.01623145 | 1.01593914 |
1.2566 | 1.17754898 | 1.17754418 | 1.17768450 | 1.17733677 |
1.5708 | 1.23163392 | 1.23163641 | 1.23173842 | 1.23140839 |
1.8850 | 1.17754907 | 1.17755395 | 1.17763565 | 1.17733677 |
2.1991 | 1.01614381 | 1.01611409 | 1.01622990 | 1.01593914 |
2.5133 | 0.75305404 | 0.75304748 | 0.75313106 | 0.75290589 |
2.8274 | 0.40798587 | 0.40798503 | 0.40803474 | 0.40790925 |
h = π/800, τ = 0.004 | ||||
0.3142 | 0.40923740 | 0.40924090 | 0.40925669 | 0.40924443 |
0.6283 | 0.75497993 | 0.75499925 | 0.75502314 | 0.75500177 |
0.9425 | 1.01843426 | 1.01845552 | 1.01849042 | 1.01846144 |
1.2566 | 1.17998806 | 1.18000297 | 1.18004151 | 1.18000806 |
1.5708 | 1.23410056 | 1.23411599 | 1.23414084 | 1.23410729 |
1.8850 | 1.18000780 | 1.18001024 | 1.18003866 | 1.18000806 |
2.1991 | 1.01846042 | 1.01846591 | 1.01848874 | 1.01846144 |
2.5133 | 0.75499623 | 0.75500746 | 0.75502307 | 0.75500177 |
2.8274 | 0.40924316 | 0.4092445549 | 0.40925683 | 0.40924443 |